arXiv 论文提出 Orbital Error Dynamics：用 24 字节种子程序化生成参数替代存储权重
Orbital Error Dynamics: Self-Organized Criticality, Ephemeral Parameter Resonance, and Non-Linear Biological Ontologies in Zero-Storage Neural Synthesis
一篇很脑洞的论文：权重不存了，用 24 字节种子加复二次映射现场算出来，Two-Moons 上拿到 77.67% 准确率，思路挺新鲜。
一篇 arXiv 论文提出 Orbital Error Dynamics（OED）框架，把神经网络的权重从存储的浮点矩阵改为由二次多项式映射 z_{n+1} = z_n^2 + c 程序化推导的瞬态共振，参数开销从 O(W) 降到 O(1)。作者还提出 Bent Sine Wave Hypothesis 和由 CD4+ 免疫门控屏蔽的肠-脑双脑架构，并引入受哺乳动物受精锌火花启发的重尾扰动跳算子 Ω_tunneling。在 Two-Moons 数据集上（5 个随机种子、80/20 划分、32x32 网格），该方法从 24 字节坐标种子获得 77.67% ± 5.35% 的干净测试准确率，与无约束梯度基线的 85.67% 相差 8 个点以内（95% CI: [-1.07%, 17.07%]），分布偏移下为 71.33% ± 3.80%。
Orbital Error Dynamics: Self-Organized Criticality, Ephemeral Parameter Resonance, and Non-Linear Biological Ontologies in Zero-Storage Neural Synthesis
Modern deep neural networks treat parameters as static floating-point matrices stored in physical memory, incurring Von Neumann memory bottlenecks and representation collapse. We formulate Orbital Error Dynamics (OED), an analytical framework wherein synaptic weights are not stored masses (O(W)), but transient topological resonances (O(1)) derived procedurally from the complex quadratic polynomial map z_{n+1} = z_n^2 + c. We introduce the Bent Sine Wave Hypothesis, demonstrating that non-equilibrium living systems emerge when harmonic waves curl inward through environmental drag toward the cardioid cusp (c = 1/4). We define the Observer Horizon Geometry in parameter space, identifying interior resonance shoulder loci X_upper = (0.25, +0.18) and X_lower = (0.25, -0.18) between the fixed-point basin and the true boundary at c = 0.25 +/- 0.50i. To escape non-convex stagnation without loss zeroing, we introduce a heavy-tailed Biomimetic Perturbed Jump Operator (Omega_tunneling) inspired by mammalian fertilization zinc sparks. We further couple an enteric-cranial Dual-Brain architecture shielded by adaptive CD4+ regulatory immune gating (M_CD4), and project the 4-nucleotide genetic basis (A, T, C, G) across quadrants in C. Multi-seed empirical validation on the Two-Moons manifold (5 seeds, 80/20 train/test split, 32x32 grid, zero test-time updates, zero label leakage) demonstrates that procedural parameterization from a 24-byte coordinate seed achieves 77.67% +/- 5.35% clean test accuracy (within an 8.00-point paired difference of an unconstrained gradient baseline at 85.67% +/- 5.35%, 95% CI: [-1.07%, 17.07%]) and 71.33% +/- 3.80% under distribution shift (N(1.2, 0.4)), alongside conceptual equivalence with an analog optical co-processor.
- elvis09-23 15:35原文